English

On Brownian flights

Classical Analysis and ODEs 2019-04-22 v1

Abstract

Let K be a compact subset of Rn{\mathbb R}^n. We choose at random with uniform law a point at distance ϵ\epsilon of K and start a Brownian motion (BM) from this point. We study the probability that this BM hits K for the first time at a distance r\geq r from the starting point.

Keywords

Cite

@article{arxiv.0704.2362,
  title  = {On Brownian flights},
  author = {Athanasios Batakis and Pierre Levitz and Michel Zinsmeister},
  journal= {arXiv preprint arXiv:0704.2362},
  year   = {2019}
}
R2 v1 2026-06-21T08:19:50.333Z